Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
High Energy Physics - Theory
2011-03-17 v1 Statistical Mechanics
General Relativity and Quantum Cosmology
Quantum Physics
Abstract
We argue that the entanglement entropy offers us a useful coarse-grained entropy in time-dependent AdS/CFT. We show that the total von-Neumann entropy remains vanishing even when a black hole is created in a gravity dual, being consistent with the fact that its corresponding CFT is described by a time-dependent pure state. We analytically calculate the time evolution of entanglement entropy for a free Dirac fermion on a circle following a quantum quench. This is interpreted as a toy holographic dual of black hole creations and annihilations. It is manifestly free from the black hole information problem.
Keywords
Cite
@article{arxiv.1008.3439,
title = {Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining},
author = {Tadashi Takayanagi and Tomonori Ugajin},
journal= {arXiv preprint arXiv:1008.3439},
year = {2011}
}
Comments
25 pages, Latex, 8 figures